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- Title
APPROXIMATIONS FOR SUPERPOSITION ARRIVAL PROCESSES IN QUEUES.
- Authors
Newell, G. F.
- Abstract
S. L. Albin has described extensive simulations of queue behavior for a system with a single server and an arrival process that is a superposition of n renewal processes. The simulations show, among other things, that as n increases for a fixed traffic intensity p, the queue behavior approaches that of the M/M/1 system. The rate of convergence, however, becomes much slower as the traffic intensity p comes closer to 1. Several qualitative effects shown in the simulations are explained here. In particular it is shown that the approach to the M/M/1 system requires that n(1 - p)2>>1.
- Subjects
QUEUING theory; APPROXIMATION theory; SUPERPOSITION principle (Physics); SIMULATION methods &; models; SYSTEM analysis; STOCHASTIC convergence; WIENER processes; POISSON processes; ALBIN, S. L.; MANAGEMENT science
- Publication
Management Science, 1984, Vol 30, Issue 5, p623
- ISSN
0025-1909
- Publication type
Article
- DOI
10.1287/mnsc.30.5.623